Find the surface area of the rectangular prism. Explain how you got your answer

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The surface area of the rectangular prism is 738 square inches.

Step-by-step explanation:

To find the area of a rectangular prism, you need only find the sum of the area of all six faces.

With any rectangular shape, you'll always have opposite sides being identical, so you can actually define the area of the shape as:

2 × (w × l + w × h + l × h)

We're given a width of 15 inches, a length of 7 inches, and a height of 12 inches, so the surface area of the shape is:

2 × (15 × 7 + 15 × 12 + 7 × 12)

= 2 × (105 + 180 + 84)

= 2 × 369

= 738

So the rectangular prism has a surface area of 738 square inches.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is